Answer:
Let x= the ones digit
Then x+5=the tens digit
Hence the equation is: 10(x+5)+x=x+5+x+63
10(x+5)+x=x+5+x+63
10x+50+x=2x+68
11x+50=2x+68
-2x-50 -2x-50
---------------------
9x=18 Divide both sides of the equation by 9
x=2
Hence the number is 10(2+5)+2=10(7)+2=70+2=72.
Find the slope of the line that passes through (23, -30) and (-7, 18).
Answer:
slope = - [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (23, - 30) and (x₂, y₂ ) = (- 7, 18)
m = [tex]\frac{18-(-30)}{-7-23}[/tex] = [tex]\frac{18+30}{-30}[/tex] = [tex]\frac{48}{-30}[/tex] = - [tex]\frac{8}{5}[/tex]
Working as a team, 8 mathletes can solve 20 problems in 10 minutes. At this same rate, how many mathletes are needed in order to solve 30 problems in 5 minutes?
Answer:
12 mathletes is needed to solve 30 problems in 5 minutes
Step-by-step explanation:
8 athletes can solve 20 problems in 10 minutes
30-20=10
now we need 10 more problems to be solved so
20/2=10. 8/2=4 so we need more 4 mathletes to solve all the problems
solve each given equation
Answer:
x = 30
Infinite Solutions
No Solutions
Step-by-step explanation:
First, combine like terms
Then move all variable to one side and isolate them by undoing the action being done to them
Example 1:
6x + 4x - 6 = 24 + 9x
10x - 6 = 24 + 9x
-9x -9x
x - 6 = 24
+6 +6
x = 30
Example 2:
25 - 4x = 15 - 3x + 10 -x
25 - 4x = 25 - 4x
Since they are the same on both sides, this equation has Infinite Solutions
Example 3:
4x + 8 = 2x + 7 + 2x -20
4x + 8 = 4x - 13
-4x -4x
8 = -13
This statement is untrue, therefore this equation has No Solution
Which label on the cone below represents the vertex?
D
B
А.
С
ОА
D
Mark this and stum
Save and Exit
Did I do this right? I really don’t want to fail lol
Answer:
i think yes!!!
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Yes, you did this correctly.
By subtracting the volume of the cylinder from the volume of the rectangular solid, you accurately acquired the volume of the remaining figure.
And yes, your calculations are correct.
a teacher bought sweets for her 40 students . if she gave each student 3 sweets , she would have 5 sweets left . How many sweets did she buy?
Answer:
125 sweets
Step-by-step explanation:
Let the total # of sweets the teacher bought be the variable, x.
We can set up this equation to find the # of sweets she bought:
40 · 3 + 5 = x
Because she gave 3 sweets each to her 40 students, we have to multiply these two numbers to get the # of sweets the teacher gave out.
120 + 5 = x
Then, since there's 5 extra sweets left, we can add it to the # of sweets the teacher gave out to get the total amount of sweets she bought.
125 = x
x = 125
125 sweets
Answer:
Total sweets = 125
Step-by-step explanation:
Number of sweets given to each student = 3
Number of sweets given to 40 students = 40*3 = 120
Number of sweets left with the teacher = 5
Total sweets = 120 + 5 = 125
Monique made several batches of soup for a potluck supper. Each batch required Three-fourths of a pound of potatoes, and she used a total of 6 and one-half pounds of potatoes. How many batches of soup did Monique make?
Which division and multiplication problems could represent this scenario? Check all the apply.
Answer:
Number of batches of soup = 8 2/3 batches
Step-by-step explanation:
Each batch of soup = 3/4 pounds of potatoes
Total pounds of potatoes available = 6 1/2 pounds
How many batches of soup did Monique make?
Number of batches of soup = Total pounds of potatoes available / Each batch of soup
= 6 1/2 pounds ÷ 3/4 pounds
= 13/2 ÷ 3/4
= 13/2 × 4/3
= (13 * 4) / (2 * 3)
= 52/6
= 8 4/6
= 8 2/3
Number of batches of soup = 8 2/3 batches
Answer:
B 13/2 divided by 3/4
E 13/2 (4/3)
Chase buys a bag of cookies that contains 6 chocolate chip cookies, 6 peanut butter cookies, 6 sugar cookies and 6 oatmeal cookies. What is the probability that Chase randomly selects a peanut butter cookie from the bag, eats it, then randomly selects a chocolate chip cookie
Answer:
0.0652173
Step-by-step explanation:
Given that :
6 chocolate chip cookies
6 peanut butter cookies
6 sugar cookies
6 oatmeal cookies
Total number of cookies purchased = (6+6+6+6) = 24
Probability, P= required outcome /total possible outcomes
This is a selection without replacement probability problem :
P(peanut butter cookies) = 6/24 = 1/4
Then ;
P(chocolate chip cookie) = 6/23
Hence,
P(peanut butter cookies then chocolate chip cookie) = 1/4 * 6/23 = 0.0652173
4(2+-3)2?
I will give 10 points!
Answer:
-8
Step-by-step explanation:
Use PEMDAS (solve for parenthesis first):
4(2 + -3)2
4(2 - 3)2
4(-1)2
(-4)2
-8
4(2 + 3) 2
=4. 5. 2
=4 0
a can of soft drink weighs 340g when rounded off to the nearest whole number, what is the lowest possible weight of the can of soft drink
======================================================
Explanation:
When we round that value mentioned above to the nearest whole number, we end up with 340 grams. So we have to think in reverse of the rounding process to try to see which values round to 340, and go for the lowest one.
Something like 339.49 will round to 339 grams. The same applies to 339.499 and so on. This means the lowest we can go is 339.5
Going the opposite direction, there technically is no largest possible value. We could have 340.49 or 340.499 or 340.4999 and so on. These values are all approaching 340.5 but never actually get there.
In short, the possible weights x are [tex]339.5 \le x < 340.5[/tex] where rounding any of those x values to the nearest whole number will get you 340 grams. We see that 339.5 grams is the smallest possible x value.
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
Answer:
y ≤ (-2)x+2
y < (1/3)x + 2
Step-by-step explanation:
First, we'll want to figure out the lines that are intersecting.
To find the equation of a line given two points (of form y=mx+b), we can first find the slope (m). This is equal to (y₂-y₁)/(x₂-x₁) for points (x₁,y₁) and (x₂,y₂). Then, we can plug a point in and solve for b.
For the line that has points at (1,0) and (2, -2), our slope is
(y₂-y₁)/(x₂-x₁) = (-2-0)/(2-1)
= (-2)/1
= -2
Our equation is therefore y= (-3/2)x+b. Plugging a point like (2,-2) in, we get
-2 = (-2)(2) + b
-2 = -4 + b
add 4 to both sides to isolate b
b =2
Our equation is thus y = (-2)x+2
For the other line, with points at (-3,1) and (0,2), our slope is (2-1)/(0-(-3)) = 1/3
Then, our equation is y=(1/3)x+b
plug (-3,1) in
1 = (1/3)(-3) + b
1 = -1 + b
add 1 to both sides to isolate the b
b =2
Our equation is thus y=(1/3)x + 2
Our equations are y=(1/3)x + 2 and y = (-2)x+2. In the graph shown, the shaded area is under both the lines (it is also to the left of them, not to the right or on top). Therefore, we can say that the shaded area is less than the line.
For y = (-2)x+2, the line is not dotted, so the line is included in the region. This means that our inequality is y ≤ (-2)x+2 (note the ≤ rather than simply the < sign)
For y=(1/3)x + 2, the line is dotted, so it is not included in the region. This means that our inequality is y < (1/3)x + 2
PLEASE HELP!
The table shows a representation of the number of miles a car drives over time.
A 2-column table with 4 rows. Column 1 is labeled Hours, x with entries 3, 4, 5, 6. Column 2 is labeled Miles, y with entries 195, 260, 325, 390. Pattern: Each x value is multiplied by 65 to get each y value.
What is the equation for this situation?
y = 195 +3
y = 195
y = 65 +3
y = 65
Which could NOT be a point on this table?
2, 130
8, 445
1, 65
11, 715
Answer:
y=65x and 8455 there yall go
Step-by-step explanation:
Rodney and their roommates are making homemade pizza for dinner. Rodney tells his roommates that he would like for his slice to be cut at a 100 degree angle. The pizza has a diameter of 20 inches. To the nearest tenth of an inch, find the area of Rodney's slice of pizza. Approximate pi at 3.14.
Answer:
Area of pizza slice = 87 inches² (Approx.)
Step-by-step explanation:
Given:
Angle cut of pizza = 100°
Diameter of pizza = 20 inches
Find:
Area of pizza slice
Computation:
Area of sector = [Ф / 360][π][r²]
Area of pizza slice = [100/360][3.14][(20/2)²]
Area of pizza slice = [100/360][3.14][(10)²]
Area of pizza slice = [100/360][3.14][100]
Area of pizza slice = [0.2778][3.14][100]
Area of pizza slice = 87.2292
Area of pizza slice = 87 inches² (Approx.)
In an experiment, colored letters flash briefly on a computer screen. On each trial, participants are asked to report the letters in their correct colors and to rate their confidence in their responses. In one condition, participants are required simultaneously to monitor the screen for the appearance of a particular digit. Which alternative correctly identifies the dependent variable(s) in this experiment
The alternatives or options aren't given.
Answer:
Kindly check explanation
Step-by-step explanation:
The dependent variable in an experiment refers to the va ibale which we intend to measure based on the outcome or values of one or more predictor variables, this variable which we intend to measure is the dependent variable while the the variables which causes a change or upon which the dependent variable relies are the independent variable. Hence, from the scenario described above, the possible dependent variables are :
The letters in their correct colors and the confidence in response Given.
The diameter of a circle is 12 m. Find its area in terms of pi
Answer:
36 pi m^2
Step-by-step explanation:
The diameter of a circle is 12
The radius is 1/2 of the diameter, d/2 = 12/2 = 6
The area of a circle is given by
A = pi r^2
A = pi (6)^2
A = 36 pi m^2
Lorraine writes the equation shown. x²+4-15=0 She wants to describe the equation using the term relation and the term function. The equation represents a relation and a function a relation but not a function a function but not a relation neither a relation nor a function
Answer:
Neither a relation nor a function
Step-by-step explanation:
A relation in mathematics is a relationship between two or more set of values in an ordered pair, such as related x and y-values
An equation is a statement that gives declare the equality between two expressions
A function is a mapping rule that maps each element in the domain set to only one element in the range set
Therefore, the given equation in one variable, x, that asserts the equality of the expressions on the left and right hand side, is neither a relation nor a function
see question in image
Answer:
Total outcomes with two dice is:
6*6 = 3638Outcomes with sum of 7:
1 &6, 2&5, 3&4, 4&3, 5&2, 6&1 - total of 6Probability:
P(sum of 7) = 6/36 = 1/639Outcomes with sum of 5 or 10:
1&4, 2&3, 3&2, 4&1, 4&6, 5&5, 6&4 - total of 7Probability:
P(5x) = 7/3640Outcomes with same numbers:
1&1, 2&2, 3&3, 4&4, 5&5, 6&6 - total of 6Probability:
P(same) = 6/36 = 1/6Can someone help me on this please
The choices :
Three
B , E , D
Bài 2: Cho ∆ABC có AB AC = , M là trung điểm của BC . Trên tia đối của tia MA lấy điểm D sao cho MA = MD .
a) Chứng minh : ∆ ABM =∆ DCM .
b) AB // DC
c) AM ⊥ MC
d) Tìm điều kiện ∆ABC để góc ADC =30 °
HI I NEED HELP WITH THIS QUESTION ASAP!!!!!! ITS URGENT PLEASE HELP
A group of rowdy teenagers near a wind turbine decide to place a pair of
pink shorts on the tip of one blade. They notice that the shorts are at its
maximum height of 16 metres at t = 10 s and its minimum height of 2 metres at
t = 25 s.
a) Determine the equation of the sinusoidal function that describes
the height of the shorts in terms of time.
b) Determine the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a metre.
a) The sinusoidal function is y = 7·sin(π/15(t - 2.5)) + 9
b) The height of the shorts at t = 10 minute is approximately 6 meters
The above answers were arrived at as follows
a) The general form of a sinusoidal equation is presented as follows;
y = A·sin(B(t - h)) + k
Where;
A = The amplitude of the graph of the function
The period, T = 2·π/B
h = The horizontal shift
k = The vertical shift
The maximum height of the blade = 16 meters
The minimum height of the blade = 2 meters
The time the blade moves from maximum height to minimum height = 25 s - 10 s = 15 s
Therefore, the time it takes the blade to move from maximum height to minimum height, the period, T= 2 × 15 s = 30 s
Therefore;
B = 2·π/30 = π/15
B = π/15
When B·(t - h) = π/2, t = 10
Therefore;
(π/15)·(10 - h) = π/2
10 - h = 15/2
h = 10 - 15/2 = 2.5
The horizontal shift, h = 2.5
The amplitude, A = (Max - Min)/2
∴ A = (16 - 2)/2 = 7
A = 7
The vertical shift, k = Min - (-Amplitude)
∴ k = 2 - (-7) = 9
The vertical shift, k = 9 Up
Therefore, the equation of the sinusoidal equation that describes the height of shorts in terms of time is given by plugging in the values of the variables, A, B, h, and k to get the following equation;
y = 7·sin(π/15·(t - 2.5)) + 9
b) The height of the shorts at exactly, t = 10 minutes = 600 seconds, is given as follows;
y = 7·sin(π/15·(t - 2.5)) + 9
10 minutes = 600 seconds
When t = 10 minutes = 600 seconds
∴ y = 7·sin(π/15(600 - 2.5)) + 9 = 5.5 ≈ 6
The height of the shorts at exactly t = 10 minutes ≈ 6 meters.
Get more information on sinusoidal functions here;
https://brainly.com/question/16820464
Hai giá sách có 450 cuốn sách .Nếu chuyển 50 quyển từ giá thứ nhất sang giá thứ hai thì số sách ở giá số hai sẽ bằng 4/5 số sách ở giá thứ nhất ?Tính số sách ở mỗi giá.
Step-by-step explanation:
hơi khó hiểu thông cảm UwU
14. Peter needs to buy a package of pencils to write his final exam. The store offers two packages.
Package 1: pack of 6 pencils for $1.68
Package 2: pack of 9 pencils for $2.34
Determine the cost per pencil. Which is the better deal? Round to 2 decimal places. Show all your work for full marks. (3 marks)
Select the correct answer from each drop-down menu. The simplest form of the expression has in the numerator and in the denominator.
Answer:
Numerator is 7 and denominator is (m+4)
Step-by-step explanation:
(4m-17)/(m^2-16)+(3m-11)/(m^2-16)=(7m-28)/(m^2-16)=7/(m+4)
What is the approximate value of tan c?
A. 0.92
B. 0.44
C. 0.40
D. 2.29
Answer:
B. 0.44
Step-by-step explanation:
Tan = Opposite/Adjacent
Tan C = 7/16 = 0.4375 ≈ 0.44
What is the sum of the interior angles of a regular polygon with 13 sides?
giving 20 points!!
Answer:
1980
Step-by-step explanation:
13 sides
Number of sides n=13
The sum of interior angles of polygon =(2n−4)×90o
=(2×13−4)×90o
=(26−4)×90o
=22×90o
We get,
=1980
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answer:
Step-by-step explanation:
I think you mean 35 seconds because if it was 36 then the answer would be too long so assuming it is 35 seconds the answer is 1 minute or 60 seconds
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
A.
f(x) = (x + 6)(x + 4)
B.
f(x) = (x + 6)(x − 4)
C.
f(x) = (x − 6)(x + 4)
D.
f(x) = (x − 6)(x − 4)
Answer:
C
Step-by-step explanation:
If x = a is a zero of f(x) then (x - a) is a factor of f(x)
Here the zeros are x = 6 and x = - 4 then the corresponding factors are
(x - 6) and (x - (- 4) ) , that is (x - 6) and (x + 4)
Then f(x) is the product of the factors
f(x) = a(x - 6)(x + 4) ( a is a multiplier )
If a = 1 , then
f(x) = (x - 6)(x + 4) ← is a possible choice → C
Answer:
С.
Step-by-step explanation:
f(x) = (x − 6)(x + 4)
x-6=0
x1=6
x+4=0
x2=-4
Identify a positive coterminal angle for the angle shown below. You must answer in radians.
Given mn, find the value of x.
+
(6x+9)
m
(4x-19)
Answer:
Submit Answer
attempt 1 out of 2
I really need help with this
Answer:
x = 19
Step-by-step explanation:
The two angles with measures are supplementary.
6x + 9 + 4x - 19 = 180
10x - 10 = 180
10x = 190
x = 19
Answer:
10x -10
Step-by-step explanation:
this answer is really sure
Match function with its corresponding graph
Answer:
Step-by-step explanation:
We can see that there are roots at (-2,0) and (-1,0)
also, the root at (-2,0) should bounce right off
and the root at (-1,0) should go through
With all that being said it has to be B
